Non-Iterative Modeling and Vibration Characteristics Analysis of Multi-Layered Composite Thin-Walled Cylindrical Shell with Intermediate Layer Offset

The laminated thin-walled cylindrical shell structure can adapt to various complex working environments by using laminated shells made of different materials to generate different dynamic characteristics. Due to deviations in manufacturing accuracy and design requirements during the design and manufacturing process, there may be a certain degree of offset in the intermediate layer. Therefore, studying the free vibration characteristics of multi-layer thin-walled cylindrical shells with intermediate layer offset is of great significance. This article is based on the Love shell theory and Lagrangian equation, and establishes the energy function for the vibration of multi-layer thin-walled cylindrical shells with intermediate layer offset. The natural frequency characteristics are then calculated using the Rayleigh Ritz method. By comparing the natural frequencies and frequency parameters obtained in this article with known literature, the correctness of the model in this article was verified. This article also analyzes the influence of intermediate layer offset on the natural frequency of the entire thin-walled cylindrical shell under different circumferential wave numbers, axial half wave numbers, geometric parameters, and material parameters based on fixed boundary conditions at both ends.